Consider a homogeneous, isotropic conducting medium with material constants ε, μ, σ and no net charge. starting from the maxwell's equations derive the wave equations for the fields e(f, t) and b(a, t). (b) consider a plane wave of the type e(,t) exp(ikz - iut) traveling along the z-axis in the situation described in (a) (i) derive the dispersion relation showing howw and k are related. (ii) determine k assuming that im k 《 rek. (iii) under which conditions is the assumption of (ii) justified? (iv) after which distance ξ does the amplitude of the electric (or magnetic) field of the wave fall off by the factor 1/e? (c) repeat the calculation performed in (b), but in the "quasi stationary approximation" with the displacement current neglected, and derive the distance δ after which the amplitude of the electric (or magnetic) field of the plane wave is diminished by the factor 1/e. under which conditions is this "quasi stationary approximation" justified?